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Metamath Proof Explorer

Theorem simp3l1

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)

Ref Expression
Assertion simp3l1 
|- ( ( ta /\ et /\ ( ( ph /\ ps /\ ch ) /\ th ) ) -> ph )

Proof

Step Hyp Ref Expression
1 simpl1 
 |-  ( ( ( ph /\ ps /\ ch ) /\ th ) -> ph )
2 1 3ad2ant3 
 |-  ( ( ta /\ et /\ ( ( ph /\ ps /\ ch ) /\ th ) ) -> ph )